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See the attachment for the question.

I'm stuck on the bit highlighted in yellow (have done the rest of the question).

I'm not sure if it's really trivial or more involved. Do I have to use the fact that U(pi/2)|j m> are eigenvectors of J

|<j m'| J

Thanks

I'm stuck on the bit highlighted in yellow (have done the rest of the question).

I'm not sure if it's really trivial or more involved. Do I have to use the fact that U(pi/2)|j m> are eigenvectors of J

_{1}with eigenvalue m somehow? Why is the answer not just:|<j m'| J

_{1}|j m>|^{2}?Thanks